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Finding the Fourth Proportional to 6,843.12, 9,443.52 and 3,699.32

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Solution

The fourth proportional to 6,843.12, 9,443.52 and 3,699.32 is: 5,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.12 : 9,443.52 = 3,699.32 : x
  2. Step 2: Convert to fraction form
    6,843.12/9,443.52 = 3,699.32/x
  3. Step 3: Cross multiply
    6,843.12x = 9,443.52 × 3,699.32
  4. Step 4: Simplify right side
    6,843.12x = 34,934,602.41
  5. Step 5: Solve for x
    x = 34,934,602.41/6,843.12
  6. Step 6: Final answer
    x = 5,105.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.